Chapter P: Preliminaries

P.1. Review of Real Numbers and Their Properties

Real Number Line - Activity A

P.2. Solving Equations

Solving Two-Step Equations

P.3. The Cartesian Plane and Graphs of Equations

Points in the Coordinate Plane - Activity B

Using Tables, Rules and Graphs

Distance Formula - Activity A

P.4. Linear Equations in Two Variables

Slope - Activity A

Slope-Intercept Form of a Line - Activity A

Point-Slope Form of a Line - Activity A

P.5. Functions

Linear Functions

Introduction to Functions

P.6. Analyzing Graphs of Functions

Fourth-Degree Polynomials - Activity A

Quadratic and Absolute Value Functions

Quadratics in Polynomial Form - Activity A

Functions Involving Square Roots

P.8. Transformation of Functions

Rotations, Reflections and Translations

Translating and Scaling Functions

P.9. Inverse Functions

Logarithmic Functions - Activity A

Chapter 1: Trigonometry

1.2. Trigonometric Functions: The Unit Circle

Unit Circle

1.3. Right Triangle Trigonometry

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

1.4. Trigonometric Functions of Any Angle

Cosine Function

Sine Function

Tangent Function

1.5. Graphs of Sine and Cosine Functions

Cosine Function

Sine Function

1.6. Graphs of Other Trigonometric Functions

Tangent Function

Chapter 2: Analytic Trigonometry

2.2. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

2.4. Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

Chapter 3: Additional Topics in Trigonometry

3.3. Vectors in the Plane

Adding Vectors

Chapter 4: Complex Numbers

4.1. Complex Numbers

Points in the Complex Plane - Activity A

Absolute Value of a Complex Number

4.2. Complex Solutions of Equations

Roots of a Quadratic

4.3. Trigonometric Form of a Complex Numbers

Absolute Value of a Complex Number

Chapter 5: Exponential and Logarithmic Functions

5.1. Exponential Functions and Their Graphs

Exponential Functions - Activity A

Exponential Growth and Decay - Activity A

5.2. Logarithmic Functions and Their Graphs

Logarithmic Functions - Activity A

5.5. Exponential and Logarithmic Models

Exponential Growth and Decay - Activity A

Chapter 6: Topic in Analytic Geometry

6.2. Introduction to Conics: Parabolas

Parabolas - Activity B

Parabola with Horizontal Directrix

6.3. Ellipses

Ellipse - Activity A

6.4. Hyperbolas

Hyperbola - Activity A

6.7. Polar Coordinates

Points in Polar Coordinates